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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Binet equation ： ウィキペディア英語版 Binet equation The Binet equation, derived by Jacques Philippe Marie Binet, provides the form of a central force given the shape of the orbital motion in plane polar coordinates. The equation can also be used to derive the shape of the orbit for a given force law, but this usually involves the solution to a second order nonlinear ordinary differential equation. A unique solution is impossible in the case of circular motion about the center of force. ==Equation== The shape of an orbit is often conveniently described in terms of relative distance $r$ as a function of angle $\backslash theta$ . For the Binet equation, the orbital shape is instead more concisely described by the reciprocal $u=1/r$ as a function of $\backslash theta$. Define the specific angular momentum as $h=L/m$ where $L$ is the angular momentum and $m$ is the mass. The Binet equation〔(【引用サイトリンク】title=Fyta12:1 – Motion in a Central Force Field )〕 is :$F(1/u)=-mh^u^\backslash left(\backslash fracu\}\}+u\backslash right).$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Binet equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.